1. A 3 kg block on a frictionless surface explodes into two pieces. One 1 kg piece moves right at 6 m/s. The second 2 kg piece moves at an angle θ above horizontal at 3 m/s. What is θ?

1. 7. Two identical 2 kg carts collide. Initially, cart A moves right at 3 m/s while cart B is at rest. If after collision they move apart at 1.5 m/s each, which statement is correct about the collision?
      

8. In a car crash test, a 1000 kg car moving at 15 m/s hits a barrier. The crash takes 0.2 seconds, and the force applied by the barrier increases linearly from 0 N to its maximum value, then decreases linearly back to 0 N over equal time intervals. If the car stops completely, what was the maximum force applied?

1. A 2 kg block initially moving right at 3 m/s hits a spring and bounces back left at 2 m/s. If the collision took 0.1 seconds, what was the average force exerted by the spring?
   

1. A 2kg cart at rest is pushed by a spring (k = 400 N/m) compressed 0.3 m. The cart travels up a frictionless ramp inclined at 30° to the horizontal. What maximum height does it reach along the ramp?

1. A 4 kg block slides down a 3-meter long ramp inclined at 25° with coefficient of kinetic friction μₖ = 0.2. If it starts from rest, what is its speed at the bottom of the ramp?